Solve the multi-step problem 6−4(3−1)^2+16 .(1 point)
To solve this multi-step problem, we need to follow the order of operations.
First, we need to simplify any expressions inside parentheses.
The expression inside the parentheses is 3−1, which simplifies to 2.
Next, we need to apply the exponentiation.
There is an exponent of 2 to the expression (3−1), so we need to calculate (3−1)^2.
(3−1)^2 = 2^2 = 4
Now, we can replace (3−1)^2 with 4 in the original expression:
6−4(4)+16
Next, we need to perform the multiplication.
4 times 4 is 16.
6−16+16
Now we can perform the addition and subtraction from left to right.
6 minus 16 is -10.
-10 plus 16 is 6.
Therefore, the solution to the expression 6−4(3−1)^2+16 is 6.
To solve this multi-step problem, we need to follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
First, let's simplify the expression inside the parentheses:
3 - 1 = 2
Next, we can square the result:
2^2 = 4
Now, we can substitute this result back into the expression:
6 - 4(4) + 16
Next, let's perform the multiplication operation:
4(4) = 16
Now, the expression becomes:
6 - 16 + 16
We can simplify further by performing addition and subtraction operations:
6 - 16 + 16 = -10 + 16 = 6
Therefore, the solution to the multi-step problem 6 - 4(3 - 1)^2 + 16 is 6.
To solve the multi-step problem 6−4(3−1)^2+16, we need to follow the order of operations (also known as PEMDAS): Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
Let's break down the problem step by step:
Step 1: Evaluate the expression inside parentheses.
Inside the parentheses, we have (3−1)^2. Using the exponent rule, we solve the expression within the parentheses first.
(3−1)^2 equals (2)^2, which is equal to 4.
Step 2: Multiply and divide from left to right.
We have 4(4), which equals 16.
Step 3: Perform addition and subtraction from left to right.
With the remaining expression of 6−16+16, perform addition and subtraction in order.
6−16 equals -10, and -10+16 equals 6.
Therefore, the solution to the multi-step problem 6−4(3−1)^2+16 is 6.